Non singular, bouncing M theory universe

Abstract

We propose a set of equations as a simple model for non singular evolutions of a $10+1$ dimensional M theory universe. Our model uses ideas from Loop Quantum Cosmology and offers a solution to the important problem of singularity resolutions. We solve the equations numerically and find that an M theory universe in this model evolves non singularly and with a bounce : going back in time, its density reaches a maximum and decreases thereafter whereas its physical size reaches a non vanishing minimum and increases thereafter. Taking the constituents of the universe to be the most entropic ones (which are four sets of intersecting M branes) leads to an effectively $3+1$ dimensional spacetime as the M theory universe expands, both in the infinite past and future.

Latex file. 19 pages, 7 figures

References in corpus (6)

• Why do we live in 3+1 dimensions?
• A Principle to Determine the Number (3 + 1) of Large Spacetime Dimensions
• A Stringy Correspondence Principle in Cosmology
• Consequences of U dualities for Intersecting Branes in the Universe
• 10 + 1 to 3 + 1 in an Early Universe with mutually BPS Intersecting Branes
• Stabilisation of Seven Directions in an Early Universe M -- theory Model